In this paper, we study two classes of Kirchhoff-type problems set on a double-phase framework. That is, the functional space where finding solutions coincides with the Musielak–Orlicz–Sobolev space W01,H(Ω), with modular function H related to the so-called double-phase operator. Via a variational approach, we provide existence and multiplicity results.
Fiscella, A., Pinamonti, A. (2023). Existence and Multiplicity Results for Kirchhoff-Type Problems on a Double-Phase Setting. MEDITERRANEAN JOURNAL OF MATHEMATICS, 20(1 (February 2023)) [10.1007/s00009-022-02245-6].
Existence and Multiplicity Results for Kirchhoff-Type Problems on a Double-Phase Setting
Fiscella, A
;
2023
Abstract
In this paper, we study two classes of Kirchhoff-type problems set on a double-phase framework. That is, the functional space where finding solutions coincides with the Musielak–Orlicz–Sobolev space W01,H(Ω), with modular function H related to the so-called double-phase operator. Via a variational approach, we provide existence and multiplicity results.
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